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Simplifying k + 1 = 4(4 + -1k) Reorder the terms: 1 + k = 4(4 + -1k) 1 + k = (4 * 4 + -1k * 4) 1 + k = (16 + -4k) Solving 1 + k = 16 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 1 + k + 4k = 16 + -4k + 4k Combine like terms: k + 4k = 5k 1 + 5k = 16 + -4k + 4k Combine like terms: -4k + 4k = 0 1 + 5k = 16 + 0 1 + 5k = 16 Add '-1' to each side of the equation. 1 + -1 + 5k = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = 16 + -1 5k = 16 + -1 Combine like terms: 16 + -1 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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